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Finding the Fourth Proportional to 342,200.40, 513,263.61 and 114,470.20

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Solution

The fourth proportional to 342,200.40, 513,263.61 and 114,470.20 is: 171,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,200.40 : 513,263.61 = 114,470.20 : x
  2. Step 2: Convert to fraction form
    342,200.40/513,263.61 = 114,470.20/x
  3. Step 3: Cross multiply
    342,200.40x = 513,263.61 × 114,470.20
  4. Step 4: Simplify right side
    342,200.40x = 58,753,388,731.00
  5. Step 5: Solve for x
    x = 58,753,388,731.00/342,200.40
  6. Step 6: Final answer
    x = 171,692.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.